3739348800 has 840 divisors, whose sum is σ = 15594677472. Its totient is φ = 870912000.

The previous prime is 3739348799. The next prime is 3739348819. The reversal of 3739348800 is 88439373.

It is a happy number.

It is a super-2 number, since 2×3739348800² = 27965458896122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61300770 + ... + 61300830.

Almost surely, 2^3739348800 is an apocalyptic number.

3739348800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3739348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797338736).

3739348800 is an abundant number, since it is smaller than the sum of its proper divisors (11855328672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3739348800 is a wasteful number, since it uses less digits than its factorization.

3739348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3739348800 is about 61150.2150445933. The cubic root of 3739348800 is about 1552.1439357066.

The spelling of 3739348800 in words is "three billion, seven hundred thirty-nine million, three hundred forty-eight thousand, eight hundred".